To ask her questions that will raise her interest in you, you first must ask her questions to find out what her likes and dilsikes are, then expand on the subjects that she likes and avoid converstaions that would annoy her.
If you realy want to know someone then ask what her current goals are , if any, or what is she looking for out of life and also questions of her past (the past is a record of her actions and best indicator of future actions). This should give you an idea of what is important to her and then you can capitalize on this knowledge for your benefit.